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If the volume of a Box is 1,463,000 cubic millimetres, what is the vol

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If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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If the volume of a Box is 1,463,000 cubic millimetres, what is the volume of the box in cubic meters? (1 millimeter = 0,001 meter)

A) 14,63
B) 1,463
C) 0,1463
D) 0,01463
E) 0,001463
[Reveal] Spoiler: OA

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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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New post 23 Jul 2016, 12:32
Avigano wrote:
If the volume of a Box is 1,463,000 cubic millimetres, what is the volume of the box in cubic meters? (1 millimeter = 0,001 meter)

A) 14,63
B) 1,463
C) 0,1463
D) 0,01463
E) 0,001463


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If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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New post 23 Jul 2016, 15:28
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\(Well,\; square\; meters\; or\; cubic\; meters\; are\; simply\; m*m,\)

\(so\; our\; nice\; "a\; lot\; of\; millions"mm^{3},\; means\; x_{mm}\cdot y_{mm}\cdot z_{mm}\; and\; as\; each\; of\; these\; mm\; has\; a\; conversion\; of\; \frac{1}{1000},\)

\(the\; whole\; pack\; will\; need\; a\; reduction\; of\; 10^{-9}\; ,\; 9\; zeros,\; to\; become\; m^{3}.\)

\(Answer\; \mbox{E}.\)

\(Hope\; it\; helps.\;\) \(:)\)

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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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The trick here maybe to just drop the ugly numbers and transform 1,463,000 cubic mm into 1,000,000 cubic mm just to understand the logic behind.

If volume of a cube equals \(10^6\) cubic mm and the formula is side * side * side, we can infer that the side measures \(10^2\) mm, or 100 mm.

And 100 mm = 0.1 mt. Therefore the side measures 0.1 mt.

In volume, this would be represented as 0.1 mt * 0.1 mt * 0.1 mt, which yields 0.001 cubic mt.

The answer choice should have 2 zeroes between the point and the first decimal different to zero.
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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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New post 25 Oct 2016, 16:04
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Avigano wrote:
If the volume of a Box is 1,463,000 cubic millimetres, what is the volume of the box in cubic meters? (1 millimeter = 0.001 meter)

A) 14.63
B) 1.463
C) 0.1463
D) 0.01463
E) 0.001463


Since we are converting from cubic millimeters to cubic meters, we have to adjust the conversion.

(1 millimeter)^3 = (0.001 meter)^3

(1 millimeter)^3 = 0.000000001 meter^3

Thus, 1,463,000 cubic millimetres =

0.000000001 x 1,463,000 = 0.001463 cubic meters

Answer: E
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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol [#permalink]

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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol   [#permalink] 03 Nov 2017, 15:01
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